Author(s)

Beih El-Sayed El-Desouky, Mohamed Moustafa Gad, Shimaa El-Eraqy

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt.

In this article we apply and discuss El-Desouky technique to derive a generalization of the problem of selecting k balls from an n-line with no two adjacent balls being s-separation. We solve the problem in which the separation of the adjacent elements is not having odd and even separation. Also we enumerate the number of ways of selecting k objects from n-line objects with no two adjacent being of separations m, m + 1, …, pm, where p is positive integer. Moreover we discuss some applications on these problems.

Probability Function, ss-Separation, s-Successions, n-Line, n-Circle

El-Desouky, B. , Gad, M. and El-Eraqy, S. (2015) Generalization of Some Problems with s-Separation. Applied Mathematics, 6, 1-6. doi: 10.4236/am.2015.61001.